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Question
(c) number of alcoholic drinks consumed by college students in a given week. assume that most of these students dont drink since they are under 21 years old, and only a few drink excessively. the distribution is expected to be: left skewed right skewed symmetric a typical observation is best represented by the: mean median the variability in the observations is best measured by the: iqr standard deviation (d) annual salaries of the employees at a fortune 500 company where only a few high level executives earn much higher salaries than the all other employees. the distribution is expected to be: right skewed symmetric left skewed a typical observation is best represented by the:
Step1: Analyze distribution of alcohol - drinks data
Since most students don't drink and a few drink excessively, the tail of the distribution is on the right side. So the distribution is right - skewed.
Step2: Choose measure for typical observation
In a right - skewed distribution, the mean is pulled towards the tail. The median is a better measure of a typical observation as it is not affected by extreme values.
Step3: Choose measure for variability
In a skewed distribution, the standard deviation is affected by extreme values. The inter - quartile range (IQR) is a better measure of variability as it is based on the middle 50% of the data and is not affected by outliers.
Step4: Analyze distribution of salary data
In a Fortune 500 company, a few high - level executives earn much higher salaries. The tail of the distribution is on the right side, so the distribution is right - skewed.
Step5: Choose measure for typical observation in salary data
Again, due to the right - skewness and the presence of outliers (high - level executives' salaries), the median is a better measure of a typical observation.
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(c) The distribution is expected to be: right skewed
A typical observation is best represented by the: median
The variability in the observations is best measured by the: IQR
(d) The distribution is expected to be: right skewed
A typical observation is best represented by the: median